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Finding the Fourth Proportional to 17,526.38, 26,273.93 and 6,430.46

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Solution

The fourth proportional to 17,526.38, 26,273.93 and 6,430.46 is: 9,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.38 : 26,273.93 = 6,430.46 : x
  2. Step 2: Convert to fraction form
    17,526.38/26,273.93 = 6,430.46/x
  3. Step 3: Cross multiply
    17,526.38x = 26,273.93 × 6,430.46
  4. Step 4: Simplify right side
    17,526.38x = 168,953,292.39
  5. Step 5: Solve for x
    x = 168,953,292.39/17,526.38
  6. Step 6: Final answer
    x = 9,639.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.